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9997650 = 23252131709
BaseRepresentation
bin100110001000…
…110101010010
3200210221012100
4212020311102
510024411100
6554141230
7150656445
oct46106522
920727170
109997650
115709423
123421816
1320c0790
14148365c
15d27400
hex988d52

9997650 has 72 divisors (see below), whose sum is σ = 28943460. Its totient is φ = 2459520.

The previous prime is 9997643. The next prime is 9997661. The reversal of 9997650 is 567999.

It can be written as a sum of positive squares in 6 ways, for example, as 762129 + 9235521 = 873^2 + 3039^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 9997596 and 9997605.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4996 + ... + 6704.

Almost surely, 29997650 is an apocalyptic number.

9997650 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9997650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471730).

9997650 is an abundant number, since it is smaller than the sum of its proper divisors (18945810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9997650 is a wasteful number, since it uses less digits than its factorization.

9997650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9997650 is about 3161.9060707111. The cubic root of 9997650 is about 215.4265912760.

It can be divided in two parts, 999 and 7650, that added together give a square (8649 = 932).

The spelling of 9997650 in words is "nine million, nine hundred ninety-seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1709 1950 2925 3418 5127 5850 8545 10254 15381 17090 22217 25635 30762 42725 44434 51270 66651 76905 85450 111085 128175 133302 153810 199953 222170 256350 333255 384525 399906 555425 666510 769050 999765 1110850 1666275 1999530 3332550 4998825 9997650